Question: How to tell if two different network models are statistically significantly different from one another?
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3.4 years ago by
'250
'250 wrote:

I have two networks A and B. I have the following information:

For A:

  • Average node degree of A = 3.2
  • Structure of A is like this:

enter image description here

And for B I have this information:

  • It's a 5-node Bernoulli random network model without self-loops
  • with parameter p = 0.5 (probability for each edge to be in the graph)
  • significance level alpha = 0.05
  • Approximate distribution of the average node degree for B is as follows: enter image description here

Is A statistically significantly different from Bernoulli random network model B? How can I assess this? What things should I look at? Does looking at the expected average degree E(G) = (n-1)p help?

graph • 960 views
ADD COMMENTlink modified 3.4 years ago by Jean-Karim Heriche21k • written 3.4 years ago by '250
3
gravatar for Jean-Karim Heriche
3.4 years ago by
EMBL Heidelberg, Germany
Jean-Karim Heriche21k wrote:

The typical way to do this is to compare some properties of the graph (e.g. node degree distribution) to the distribution of these properties expected from the model. You may find this tutorial useful. It uses the R package ergm.

ADD COMMENTlink modified 3.4 years ago • written 3.4 years ago by Jean-Karim Heriche21k
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